International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 3, Pages 211-216
doi:10.1155/S0161171200001563

Free minimal resolutions and the Betti numbers of the suspension of an n-gon

Tilak de Alwis

Department of Mathematics, Southeastern Louisiana University, Hammond 70402, Louisiana, USA

Abstract

Consider the general n-gon with vertices at the points 1,2,…,n. Then its suspension involves two more vertices, say at n+1 and n+2. Let R be the polynomial ring k[x1,x2,…,xn], where k is any field. Then we can associate an ideal I to our suspension in the Stanley-Reisner sense. In this paper, we find a free minimal resolution and the Betti numbers of the R-module R/I.